Solved on Nov 06, 2023

Multiply $6 \times \frac{5}{9}$ and write the answer as a simplified fraction.

STEP 1

Assumptions1. We are multiplying a whole number (6) by a fraction (5/9). . The result should be written as a fraction in simplest form.

STEP 2

To multiply a whole number by a fraction, we treat the whole number as a fraction with denominator1. So,6 becomes6/1.
$6 = \frac{6}{1}$

STEP 3

Now, we multiply the two fractions. To do this, we multiply the numerators together to get the new numerator, and the denominators together to get the new denominator.
$\frac{6}{1} \times \frac{5}{9} = \frac{6 \times5}{1 \times9}$

STEP 4

Perform the multiplication in the numerator and the denominator.
$\frac{6 \times}{1 \times9} = \frac{30}{9}$

STEP 5

Now, we simplify the fraction to its simplest form. We do this by dividing the numerator and the denominator by their greatest common divisor (GCD). The GCD of30 and9 is3.
$\frac{30}{9} = \frac{30 \div3}{9 \div3}$

STEP 6

Perform the division in the numerator and the denominator.
$\frac{30 \div3}{9 \div3} = \frac{10}{3}$ So, $6 \times \frac{5}{9} = \frac{10}{3}$ in simplest form.

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Multiply $6 \times \frac{5}{9}$ and write the answer as a simplified fraction.

STEP 1

Assumptions1. We are multiplying a whole number (6) by a fraction (5/9). . The result should be written as a fraction in simplest form.

STEP 2

To multiply a whole number by a fraction, we treat the whole number as a fraction with denominator1. So,6 becomes6/1.
$6 = \frac{6}{1}$

STEP 3

Now, we multiply the two fractions. To do this, we multiply the numerators together to get the new numerator, and the denominators together to get the new denominator.
$\frac{6}{1} \times \frac{5}{9} = \frac{6 \times5}{1 \times9}$

STEP 4

Perform the multiplication in the numerator and the denominator.
$\frac{6 \times}{1 \times9} = \frac{30}{9}$

STEP 5

Now, we simplify the fraction to its simplest form. We do this by dividing the numerator and the denominator by their greatest common divisor (GCD). The GCD of30 and9 is3.
$\frac{30}{9} = \frac{30 \div3}{9 \div3}$

STEP 6

Perform the division in the numerator and the denominator.
$\frac{30 \div3}{9 \div3} = \frac{10}{3}$ So, $6 \times \frac{5}{9} = \frac{10}{3}$ in simplest form.

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Multiply 6×596 \times \frac{5}{9}6×95​ and write the answer as a simplified fraction.

STEP 1

Assumptions1. We are multiplying a whole number (6) by a fraction (5/9). . The result should be written as a fraction in simplest form.

STEP 2

To multiply a whole number by a fraction, we treat the whole number as a fraction with denominator1. So,6 becomes6/1.6=616 = \frac{6}{1}6=16​

STEP 3

Now, we multiply the two fractions. To do this, we multiply the numerators together to get the new numerator, and the denominators together to get the new denominator.61×59=6×51×9\frac{6}{1} \times \frac{5}{9} = \frac{6 \times5}{1 \times9}16​×95​=1×96×5​

STEP 4

Perform the multiplication in the numerator and the denominator.6×1×9=309\frac{6 \times}{1 \times9} = \frac{30}{9}1×96×​=930​

STEP 5

Now, we simplify the fraction to its simplest form. We do this by dividing the numerator and the denominator by their greatest common divisor (GCD). The GCD of30 and9 is3.309=30÷39÷3\frac{30}{9} = \frac{30 \div3}{9 \div3}930​=9÷330÷3​

STEP 6

Perform the division in the numerator and the denominator.30÷39÷3=103\frac{30 \div3}{9 \div3} = \frac{10}{3}9÷330÷3​=310​So, 6×59=1036 \times \frac{5}{9} = \frac{10}{3}6×95​=310​ in simplest form.

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Multiply $6 \times \frac{5}{9}$ and write the answer as a simplified fraction.

To multiply a whole number by a fraction, we treat the whole number as a fraction with denominator1. So,6 becomes6/1.
$6 = \frac{6}{1}$

Now, we multiply the two fractions. To do this, we multiply the numerators together to get the new numerator, and the denominators together to get the new denominator.
$\frac{6}{1} \times \frac{5}{9} = \frac{6 \times5}{1 \times9}$

Perform the multiplication in the numerator and the denominator.
$\frac{6 \times}{1 \times9} = \frac{30}{9}$

Now, we simplify the fraction to its simplest form. We do this by dividing the numerator and the denominator by their greatest common divisor (GCD). The GCD of30 and9 is3.
$\frac{30}{9} = \frac{30 \div3}{9 \div3}$

Perform the division in the numerator and the denominator.
$\frac{30 \div3}{9 \div3} = \frac{10}{3}$ So, $6 \times \frac{5}{9} = \frac{10}{3}$ in simplest form.